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Simplifying 7(5 + -1x) = 10(x + 3) (5 * 7 + -1x * 7) = 10(x + 3) (35 + -7x) = 10(x + 3) Reorder the terms: 35 + -7x = 10(3 + x) 35 + -7x = (3 * 10 + x * 10) 35 + -7x = (30 + 10x) Solving 35 + -7x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 35 + -7x + -10x = 30 + 10x + -10x Combine like terms: -7x + -10x = -17x 35 + -17x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -17x = 30 + 0 35 + -17x = 30 Add '-35' to each side of the equation. 35 + -35 + -17x = 30 + -35 Combine like terms: 35 + -35 = 0 0 + -17x = 30 + -35 -17x = 30 + -35 Combine like terms: 30 + -35 = -5 -17x = -5 Divide each side by '-17'. x = 0.2941176471 Simplifying x = 0.2941176471
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